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Discrete unified gas kinetic scheme for multiscale anisotropic radiative heat transfer
Advances in Aerodynamics Pub Date : 2020-01-10 , DOI: 10.1186/s42774-019-0026-3
Xinliang Song , Chuang Zhang , Xiafeng Zhou , Zhaoli Guo

In this work, a discrete unified gas kinetic scheme (DUGKS) is developed for radiative transfer in anisotropic scattering media. The method is an extension of a previous one for isotropic radiation problems [1]. The present scheme is a finite-volume discretization of the anisotropic gray radiation equation, where the anisotropic scattering phase function is approximated by the Legendre polynomial expansion. With the coupling of free transport and scattering processes in the reconstruction of the flux at cell interfaces, the present DUGKS has the nice unified preserving properties such that the cell size is not limited by the photon mean free path even in the optical thick regime. Several one- and two-dimensional numerical tests are conducted to validate the performance of the present DUGKS, and the numerical results demonstrate that the scheme is a reliable method for anisotropic radiative heat transfer problems.

中文翻译:

多尺度各向异性辐射传热的离散统一气体动力学方案

在这项工作中,开发了一种离散的统一气体动力学方案(DUGKS),用于在各向异性散射介质中进行辐射传递。该方法是对各向同性辐射问题的一种扩展方法[1]。本方案是各向异性灰度辐射方程的有限体积离散化,其中各向异性散射相位函数通过勒让德多项式展开式近似。在细胞界面通量的重建中,由于自由运输和散射过程的耦合,目前的DUGKS具有很好的统一保存特性,因此即使在光学厚的情况下,细胞大小也不受光子平均自由程的限制。进行了几次一维和二维数值测试,以验证当前DUGKS的性能,
更新日期:2020-01-10
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